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Suppose I want to take a box (cuboid) on my trip that will allow me to carry on as much as possible, and that I also want this box to have a square base.
The questions we will answer using optimization are: What dimensions should the box have, and what would be the resulting maximum volume?
The number of international visitors to the United States each year (in millions) can be estimated and projected by the formula V = 2.18t+46.46,where t is the number of years since 2004. Find the number of visitors in 2007 ?
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
Show your results numerically and graphically. What can you conclude about the affect of the rate of return on your retirement plans ?
A javelin is thrown in the air. It's height is given by h(x)= -1/20x^2+8x+6, where x is the horizontal distance in feet from the point at which the javelin is thrown.
Find the probability that the first card is a king and the second card is a queen.
Find a recursive rule to generate the maximum number of parts that are obtained with n cuts using a cuboid when n= 1, 2, 3, 4, and 5.
Summarize each method, and discuss how the financial information is used to make a particular decision. Provide a scenario in a health care situation in which a given method of analysis might be used.
A rectangular box without a lid is to be made from 12 square meters of cardboard. find the maximum volume of such a box.
Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
At university , all first-year students must take chemistry and math. Suppose 15% fail chemistry, 12% fail math, and 5% fail both. Suppose a first-year student is selected at random. What is the probability that student selected failed at least on..
A sheet of metal 144 inches long and 16 inches wide, is to be turned up at both sides to make a horizontal gutter with vertical sides. How many inches should be turned up at each side for a maximum carrying capacity?
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